Answer:
76
Step-by-step explanation:
recall that for a quadratic equation in the form
ax² + bx + c = 0, the discriminant is given by
discriminant, D = b²- 4ac
we are given the following:
-6x² + 2x + 3 = 0,
comparing this with the general equation above, it is clear that,
a = -6, b = 2 and c = 3,
substituting these into our equation for discriminant:
D = b²- 4ac
= 2² - 4(-6)(3)
= 4 + 72
= 76
Answer:
15, 5, 5/3, 5/9, 5/27
Step-by-step explanation:
Recall, that the general form of a geometric series is
a, ar, ar², ar³, .........
where a is the first term and r is the ratio
It is given that the first time is 15, hence a = 15
also given that ratio is 1/3
hence the first 5 terms are:
15, (15)(1/3), (15)(1/3)^2, (15)(1/3)^3, (15)(1/3)^4
simplifying each term gives
15, 5, 5/3, 5/9, 5/27
<span> y = 2/7 x - 1/7
slope = 2/7
</span><span>perpendicular lines, slope is opposite and reciprocal
</span>so slope of new line = -7/2
<span>passes through the point (9,-32)
</span><span>slope-intercept form: y = mx + b
so
b = y - mx
b = -32 - (-7/2)(9)
b = -32 + 63/2
b = -1/2
equation in </span>slope-intercept form:
y = -7/2 x - 1/2
Answer:
The correct answer is the first solution set.
Step-by-step explanation:
If we substitute -20 into the equation we get
-20+17≤-3
-3≤-3
So,the inequality is right.
We can check the second one
14+17≤-3
31≤3 The inequality is false.
We can check the last one
-20+17≤-3
-3≤3 It works however there is a difference between the first one and the last one and that is the sign.For the first one there x≤-20 meaning the greatest number x can be is -20.For the last one x≥-20 which means -20 is the least value x can be.
If we substitude -21 into the equation we get
-21+17≤-3
-4≤-3
The inequality is false because -4 is not smaller than -3.
So,the right answer is the first solution set.
Answer:
picture?
Step-by-step explanation:
